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22770828 = 22332389103
BaseRepresentation
bin101011011011…
…1010010001100
31120211212201000
41112313102030
521312131303
62132020300
7364356153
oct126672214
946755630
1022770828
1111943073
127761690
134943682
14304a59a
151eebda3
hex15b748c

22770828 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 7108992.

The previous prime is 22770827. The next prime is 22770877. The reversal of 22770828 is 82807722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22770792 and 22770801.

It is not an unprimeable number, because it can be changed into a prime (22770823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221025 + ... + 221127.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 222770828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22770828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

22770828 is an abundant number, since it is smaller than the sum of its proper divisors (40128372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22770828 is a wasteful number, since it uses less digits than its factorization.

22770828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 22770828 is about 4771.8788752440. The cubic root of 22770828 is about 283.4390003413.

The spelling of 22770828 in words is "twenty-two million, seven hundred seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 89 92 103 108 138 178 206 207 267 276 309 356 412 414 534 618 621 801 828 927 1068 1236 1242 1602 1854 2047 2369 2403 2484 2781 3204 3708 4094 4738 4806 5562 6141 7107 8188 9167 9476 9612 11124 12282 14214 18334 18423 21321 24564 27501 28428 36668 36846 42642 55002 55269 63963 73692 82503 85284 110004 110538 127926 165006 210841 221076 247509 255852 330012 421682 495018 632523 843364 990036 1265046 1897569 2530092 3795138 5692707 7590276 11385414 22770828